Good job on thinking outside the box! However, I came across this problem when I was in school, and there is a very neat solution which is also "outside the box".
Connect 9 dots with 4 lines how to#
But the question was how to connect the spot wi have to keep in mind that the problem is translated in 3D.ĭoes that have any sense to you ?Curiously, you use the phrase "project your problem onto a sphere" - but the thing is, the reason your problem works is because there is no decent projection from a flat plane onto a sphere! (and everyone is busy thinking in flat space.)Īnyway, your solution is certainly correct, especially since we live on a sphere. I got the task from my teacher in high school. They are perfectly straight, you just have to keep in mind that the problem is translated in 3D. So three lines are : north pole-south pole, south pole-north pole and again north pole-south pole. And connect them with 3 straight lines (you change the directions of your pen on north and south pole). Look, it seems pretty natural to plant your 9 spots here. When I presented my anwser to my teacher in high school, he told me that's wrong and other students made fun of me 😞 So you pick 3 evenly distant meridianes and place your dots. sphere meridianes are perfectly straight if you look at them from the right angle. I had an idea of doing it with three straight lines (i projected my problem on a sphere). But the question was how to connect the spot with 4 lines. But what about three.ĭraw nine dots so that they are arranged in a 3x3 square.Ĭan you connect all nine dots with 3 STRAIGHT lines without taking pen (or pencil or chalk or other marking-tool) from paper? 229,078 visits since August 2017, and counting.Ok, we know how to do it with 4 straight lines.Follow Creativity boost on Blog Statistics Visit also my Creativity Boost Facebook page with lots of links to fun, creative and thoughtful stuff. Source: ĥ) And finally, my favourite, the origami method.
This could also be done at a grander scale on a flat piece of paper, with an (imaginary) line going three loops around the world.
Nothing in the challenge prohibits you from that.Ģ) Take a paint brush and connect all nine dots with one broad stroke covering all of them.ģ) Burn the paper and spread the ashes in one line for you to draw through.Ĥ) Make the paper into a cylinder and connect all nine dots with an oblique straight line. The above four- and three-line solutions, could be deduced through a trial-and-error approach, but doing it with only one line, would require stepping back and out of your normal thinking habits to find new and surprising solutions, what Edward de Bono calls “lateral thinking”.īelow are a few alternatives, but I would appreciate any further suggestions.ġ) Cut out the nine dots and glue them in one line on a piece of paper, then draw your line through them.
Nowhere is stated that the lines need to pass through the centre of the dots, so a simple three-line zigzag pattern would do it. To come to this solution, you would maybe not need to think outside the box, but surely outside the square.Ī three-line solution to the nine-dot problem is actually quite simple. This is the classical four-line solution, the arrow could of course point in three other directions.
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